On the nature of the effective gauge field in the neutral superfluid

Abstract

The idea of the fluctuation emergence of the gauge field in the neutral superfluid is stated and discussed in a series of papers. Previous authors suppose the emergence of the gauge field trying to develop a theory of the superfluid motion beyond the Hartree-liquid motion. They get some corrections to the space and time derivatives in the equation for the condensate wave function f = {Psi} = as the first-order contribution of the quantum fluctuations to the Gross-Pitaevskii equation. Considering these corrections as a gauge field they suppose a self-energy term of the field of the simplest (quadratic) form in the action with phenomenological parameters. These authors note that the corrections to derivatives {open_quotes}play the role similar to that of the vector and scalar potentials coupled to a complex matter field, and the formulation thus closely resembles the Landau-Ginzburg equation of superconductivity coupled to the electromagnetic field{close_quotes}. The author goes on to consider the nature of this gauge field.